Question

Harold walks 3/4 miles in each 5/6 hours calculate Harold's unit rate

Answer 1

A unit rate is a ratio. Here, the rate of interest is Harold's speed, found by dividing the distance Harold walked by the time it took him to do it.

`\text{speed}=\frac{\text{distance}}{\text{time}}=\displaystyle\frac{\left((3)/(4)\right)\,\text{miles}}{\left((5)/(6)\right)\,\text{hours}}\\\\=(3)/(4)\cdot(6)/(5)\,\frac{\text{miles}}{\text{hour}}=(3\cdot 6)/(4\cdot 5)\,\frac{\text{miles}}{\text{hour}}\\\\=(9)/(10)\,\frac{\text{miles}}{\text{hour}}`